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A099876
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Decimal expansion of a nested radical: sqrt(1! + sqrt(2! + sqrt(3! + ...
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13
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1, 8, 2, 7, 0, 1, 4, 7, 1, 7, 6, 0, 8, 5, 9, 2, 2, 2, 6, 3, 7, 3, 8, 4, 3, 1, 9, 2, 8, 5, 2, 8, 9, 2, 4, 7, 3, 7, 4, 7, 9, 3, 6, 2, 9, 6, 0, 8, 2, 5, 4, 8, 5, 4, 4, 2, 6, 1, 6, 2, 4, 6, 2, 9, 5, 6, 2, 1, 0, 0, 1, 5, 2, 3, 8, 7, 0, 9, 6, 7, 2, 7, 8, 3, 1, 0, 7, 2, 4, 4, 1, 6, 6, 1, 4, 3, 0, 5, 5, 5, 0
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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LINKS
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Popular Computing (Calabasas, CA), The CSR Function, Vol. 4 (No. 34, Jan 1976), pages PC34-10 to PC34-11. Annotated and scanned copy.
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EXAMPLE
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1.82701471760859222637384319285...
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MATHEMATICA
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RealDigits[Fold[Sqrt[#1 + #2] &, 0, Reverse[Range[100]!]], 10, 111][[1]]
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PROG
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(PARI) t=0:forstep(n=300, 1, -1, t=sqrt(t+n!)):print(t) gives more than enough correct digits for the number given here.
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CROSSREFS
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KEYWORD
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AUTHOR
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Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 02 2004
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STATUS
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approved
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